How many triangles can be formed by joining four points on a circle?

The total number of possible ways in which a person can go from $A(0,0)$ to $B(3,3)$ if he can travel only to the right or upward along the grid lines is:

The number of non-congruent integer-sided triangles whose sides belong to the set $\{10, 11, 12, \ldots, 22\}$ is

If the number of diagonals of a regular polygon is $35$,then the number of sides of the polygon is

The lengths of $6$ line segments are $2, 3, 4, 5, 6, 7$ units respectively. The number of triangles that can be formed using these line segments is ......

Find the number of marked points on the plane,if when connected pairwise by line segments,the total number of line segments formed is $15$.